Algebra 1.1 - 1.6 Study Guide

Commutative Property of Addition

2+3=3+2

-4 times -5

20

4 times 5

20

1/2 divided by 1/6

Step 1: Turn the fraction upside down 1/6 becomes 6/1 Step 2: Multiply the 1st fraction by the reciprocal 1/2 times 6/1=1 times 6/2 times 1= 6/2 Step 3: Simplify 6/2=3

Multiplicative Identity Property

a times 1= a= 1 times a

Distributive Property

a(b+c)=ab+ac

Additive Inverse Property

a+-a=0=-a+a

Additive Identity Property

a+0=a=0+a

If both numbers you are adding are negative

then you will have a negative answer

If both numbers you are adding are positive

then you will have a positive answer

Multiplicative Inverse

1/8 times 8=1

Absolute Value

remove any negative sign in the front of a number and make it positive

-6+(-8)

-14

-8+6=

-2

-4 times 5

-20

4 times -5

-20

Simplifying Square-Root Terms

Ex: 4=2 to the 2nd power=2 49=7 to the 2nd power=7 225=15 to the 2nd power=15